
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
35,127 
I do not know if this is a common/standard construction, so here is my motivation for this question. From Crystal...

Jul2111 09:06 AM
kdbnlin78

2 
1,731 
When chracterizing the definition of unique factorization domain ring, the Hungerford's text, for example, states that...

May912 12:18 AM
Sankaku

7 
1,731 
let be the function given by f(x)=w(x)t^3mu(x) where mu(x) is the Mobius function and w(x)=Sum(1<n<infinite)d(xn)...

Sep704 08:44 AM
eljose79

4 
1,730 
So I'm kind of confused about the definition:
ab\in I
Why a  b instead of a + b?

Jan2708 01:44 PM
mathwonk

3 
1,730 
Hey guys,
I need to prove a few theorems about vector spaces using the axioms.
a) Prove: if v = v, then v = 0
...

Jan2708 05:19 PM
mathwonk

1 
1,730 
Hi,
Does anyone know how to prove rank(A)=rank(AT A) where A is any matrix and AT is the transposed of matrix A? I...

Jan3010 05:26 PM
rochfor1

1 
1,730 
Let u,v,w\in V a vector space over a field F such that u≠v≠w. If { u , v , w } is a basis for V. Prove that { u+v+w ,...

Dec611 03:17 PM
Hurkyl

8 
1,730 
Here a polyform is a plane figure constructed by joining together sides of identical regular polygons  an equilateral...

Jan2707 08:20 PM
Loren Booda

0 
1,729 
Given a linear tansformation T of a vector space V (over a field K) with eigenbasis {v_{1},....,v_{n}}, and a...

May1611 10:45 AM
dward1996

2 
1,729 
I saw the following problem on my abstract algebra book (dummit && foote) , I tried to solve it but I couldn't :
Let...

Oct1110 04:03 AM
hermanni

3 
1,728 
The commutator for group theory is
=X^{1}Y^{1}XY whereas the quantum commutator is =XYYX .
At first glance,...

Apr511 07:36 AM
lpetrich

6 
1,728 
hi all,
Which is the fastest algorithm for linear equations in the form of A*X = B. Where A can be a symmetric or...

Feb2512 10:34 AM
AlephZero

8 
1,728 
i'm trying to understand the relationship between a matrix and it's adjoint and transpose. i'm trying to develope some...

Oct2307 11:59 AM
HallsofIvy

1 
1,726 
"Let p be a prime such that there exists a solution to the congruence x^2\equiv  2\mod p.
THEN there are integers a...

Feb2410 09:27 PM
robert Ihnot

7 
1,726 
Let f, g \in \mathbb{Z} be given as follows: f = x^8 + y^8 + z^6 and g = x^3 +y^3 + z^3. Express if possible f and g...

Apr610 04:51 AM
Eynstone

3 
1,726 
sorry im new and posted instead of previewing...im currently writing the post

May1611 09:26 AM
saulg

2 
1,726 
I was give the fallowing to prove and i would like it know if anyone thinks i did this right lol....
Let u_1, u_2,...

Sep1704 12:26 PM
mathwonk

3 
1,725 
Hi,
Let's say I have two points:
Pa = (0, 0, 30)
Pb = (2.5, 2.5, 7.5)
and I want to find the X and Y...

Jan309 10:51 AM
pjhphysics

8 
1,725 
I was thinking about some similarities in the definitions of group and field, and if it would be possible to...

Dec2811 01:49 PM
Damidami

8 
1,725 
I choose a random number p_1 \in and a subsequent series of (increasingly smaller) random numbers p_i \in . Then I...

Feb1013 09:59 PM
D H

6 
1,725 
it is possible to evaluate sums over the set of Rational
so \sum_{q} f(q) with q= \frac{m}{n} and m and n are...

Mar3112 06:39 PM
A. Bahat

4 
1,724 
Dear All,
I have a linear system of equations such as Ax = b where A is a mbyn matrix and m < n and A is a full...

May2612 07:52 AM
algebrat

1 
1,724 
So I'm reading a paper which assumes the following statement but I would like to be able to prove it.
Let S denote...

Mar1911 08:25 AM
ihavenoidea

3 
1,723 
hi.. can anyone say what is the concept behind change of basis.. y do we change a vector of one basis to another?

Apr411 05:59 AM
td21

4 
1,723 
Hi,
I have the following
\underset{\\mathbf{x}\^2=1}{\text{max...

Mar1412 02:24 AM
S_David

0 
1,723 
The following interesting result popped up in an old probability textbook (without proof or citations) and I'm curious...

Oct1510 05:23 PM
bpet

2 
1,722 
I have about 5 questions all of a similar form .....
\mathbb{F} \cong \mathbb{F} \times \mahbb{F}
if 1+1 \neq...

Dec2107 06:30 AM
morphism

4 
1,721 
How many symmetries (and what symmetries) and how many elements do the transformation groups of the equilateral...

Dec508 05:57 PM
adriank

3 
1,721 
what are all the ring homomorphism from Z to Z. Thank you

Dec1009 05:15 PM
esisk

4 
1,721 
Is it correct to say that any order 4 group is only isomorphic to either
C4 or C2+C2 ?
where C4 is the order 4...

May2312 03:10 PM
lpetrich

3 
1,721 
Mr X catches 7000 fish appox from a sea.When he lines up the fish in rows of 9 three remain.
These three fish are...

Jan2409 06:17 AM
wsalem

1 
1,720 
I want to show that the set of points (p,q) on the plane with rational coordinates p and q is countable. I proved set...

Jun2009 04:41 PM
HallsofIvy

2 
1,720 
think i have discovered an integral equation for the Xifunction
\Xi (z)= A\int_{\infty}^{\infty} \phi...

Nov1709 09:19 AM
zetafunction

1 
1,720 
This is a question in my textbook:
"The hyperplanes H1 and H2 have dimensions p and q, respectively. What is the...

Aug608 11:48 AM
JG89

5 
1,719 
Hi, folks
I have had a hard time to find out whether or not there is a theorem in Linear Algebra or Spectral Theory...

Jun1014 09:52 PM
Haborix

5 
1,719 
Someone, please help me solve this problem:
First if R is a ring and * is an involution, then U(R, *):= {x \in...

Apr1008 04:55 PM
Mechmathian

6 
1,718 
I think I have worked out a formula for Prime Numbers. I said, "I think," because
1. I dont know , Is that formula...

Apr1510 12:30 PM
CRGreathouse

7 
1,718 
Im struggling to find proof for this suspicion I have;
Given is a function f(t) and a normalised function h(t), and...

Nov2410 10:22 AM
gerben

3 
1,717 
Hi Everyone,
I am kind of looking some online text to understand Lie Algebra, Group Theory and so forth.
I usually...

Mar2712 08:39 PM
chiro

9 
1,717 
Suppose I have a matrix that looks like this
2.415212e09 9.748863e10
2.415212e09...

Apr2512 03:21 AM
FoldHellmuth

3 
1,717 